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A213769
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Principal diagonal of the convolution array A213768.
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3
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1, 8, 26, 63, 136, 272, 521, 968, 1762, 3159, 5600, 9840, 17169, 29784, 51418, 88399, 151432, 258592, 440345, 747960, 1267586, 2143783, 3618816, 6098208, 10260001, 17236712, 28918106, 48454623, 81093832, 135569264, 226404905
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OFFSET
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1,2
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LINKS
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Clark Kimberling, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (4,-4,-2,4,0,-1).
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FORMULA
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a(n) = 4*a(n-1) - 4*a(n-2) - 2*a(n-3) + 4*a(n-4) - a(n-6).
G.f.: f(x)/g(x), where f(x) = x*(1 + 4*x - 2*x^2 - 7*x^3) and g(x) = (1 - 2*x + x^3 )^2.
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MATHEMATICA
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(See A213768.)
LinearRecurrence[{4, -4, -2, 4, 0, -1}, {1, 8, 26, 63, 136, 272}, 40] (* Harvey P. Dale, Jan 08 2015 *)
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CROSSREFS
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Cf. A213768, A213500.
Sequence in context: A211640 A002901 A350163 * A301647 A050471 A088024
Adjacent sequences: A213766 A213767 A213768 * A213770 A213771 A213772
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KEYWORD
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nonn,easy
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AUTHOR
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Clark Kimberling, Jun 21 2012
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STATUS
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approved
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